Solving Differential Equations with Substitution Method

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Homework Help Overview

The discussion revolves around solving a differential equation involving a substitution method. The equation presented is xy' + y = e^(xy), where the original poster is exploring the use of the substitution u ≡ xy.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster seeks hints for setting up the solution and expresses uncertainty about their approach. Some participants question the notation used in the equation, specifically the presence of two equals signs.

Discussion Status

The conversation is ongoing, with participants clarifying the problem statement and exploring the implications of the substitution. There is no explicit consensus yet, as the discussion is still in the early stages of interpretation and setup.

Contextual Notes

The thread has been moved to a different forum category, indicating a focus on appropriate posting guidelines for homework-related questions.

der.physika
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I'm having trouble setting up this solution can anyone give me a hint, or set it up, so I can see if what I'm doing is right?

[tex]xy\prime=y=e^x^y[/tex]

using the substitution

[tex]u\equiv(xy)[/tex]
 
Last edited:
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[tex]xy\prime=y=e^x^y[/tex]

What do you mean with two = in "equation"?
 
Moderator's note:

Thread moved to "Calculus and Beyond" in the https://www.physicsforums.com/forumdisplay.php?f=152" area.

Homework assignments or any textbook style exercises for which one is seeking assistance are to be posted in the appropriate forum in our Homework & Coursework Questions area. This should be done whether the problem is part of one's assigned coursework or just independent study.
 
Last edited by a moderator:
Sorry about that, I wrote that wrong the actual problem is

[tex]xy\prime+y=e^x^y[/tex]

using the substitution

[tex]u\equiv(xy)[/tex]
 
Last edited:

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